Chapter 10: Independent-Measures T-Tests Flashcards
what p-values represent a significant effect
less than 0.05
reporting results in the literature
- includes the effect found, mean, standard deviation, t-value, p-value, alpha level, confidence interval, cohen’s d, r2
- ex. babies looked at attractive faces 3 seconds longer than unattractive faces, (M = 13 seconds for attractive faces out of the 20-second interval, SD = 3 seconds). This 3-second difference was statistically significant t(8) = 3.0, p = .0170 at the .05 level, 95% CI [.69, 5.31], d = 1.00, R2 = .53.
what does the t-value represent in confidence intervals
corresponds to the t-value associated with the alpha level
interpretation of the confidence interval
if we sampled again, we would expect that ___% of samples’ C.I.s of this size to contain the true population mean
independent-measures designs
Allow researchers to evaluate the mean difference between two populations using data from two separate samples
null hypothesis for the independent-measures t-test
states that there’s no difference between the two means
μ₁-μ₂ = 0
alternative hypothesis for independent-measures t-test
μ₁-μ₂ ≠ 0
pooled variance
Represents the average variability across the two samples
pooled variance formula for independent-measures
s²p= SS₁ + SS₂/ df₁ + df₂
estimated standard error formula for independent-measures t-tests
S (m₁-m₂)= √s²p/n₁ + s²p/n₂
t-value formula for independent-measures
t= (m₁-m₂)- (μ₁-μ₂)/ S(m₁-m₂)
function of the value of Cohen’s d or r² for independent-measures studies
helps to describe how much difference there is between the two treatments or groups
confidence intervals for independent-measures tests
CI= M1-M2 +/- ts (m1-m2)